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Finding the Fourth Proportional to 410.25, 614.98 and 178.93

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Solution

The fourth proportional to 410.25, 614.98 and 178.93 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 614.98 = 178.93 : x
  2. Step 2: Convert to fraction form
    410.25/614.98 = 178.93/x
  3. Step 3: Cross multiply
    410.25x = 614.98 × 178.93
  4. Step 4: Simplify right side
    410.25x = 110,038.37
  5. Step 5: Solve for x
    x = 110,038.37/410.25
  6. Step 6: Final answer
    x = 268.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.